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What kinds of shapes pack a flat surface with no gaps? Squares are great for floor tiles, and bees stick hexagons together. With a bit of work, you can get any triangle, no matter how stretched, to fit together without gaps. But what about pentagons? These five-sided shapes are awkward, but some types fit together.

If you wanted a really cool bathroom, what shape would you use for the tiles? Squares will work, or rectangles, or even hexagons. But can we use five-sided tiles?